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Diagonalizations of denormalized volume polynomials

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arxiv 2502.13305 v1 pith:ZR4B3FZJ submitted 2025-02-18 math.AG math.CO

Julius Ross , Hendrik Sü{ss} This is my paper · ORCID
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keywords denormalizedvolumeapplicationdiagonalizationdiagonalizationsdiscussinequalitieslower
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We show that diagonalization, products and lower truncations preserve the property of being a denormalized volume polynomial. We also discuss an application to poset inequalities.

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  1. Linear operators preserving volume polynomials

    math.AG 2025-06 conditional novelty 7.0 of 10

    Covolume polynomials are characterized as the differential operators that preserve volume polynomials, and the resulting product theorem implies that intersections of algebraic matroids are algebraic.

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